A comparative study of uncertainty propagation methods in structural problems

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Item Type: Book chapter
MIUR type: Book chapter > Book contribution (Chapter or Paper)
Title: A comparative study of uncertainty propagation methods in structural problems
Authors string: Corradi M., Gherlone M., Mattone M., Di Sciuva M.
University authors:
Title of Book: Computational Methods in Stochastic Dynamics / Papadrakakis M., Stefanou G., Papadopoulos V.
Page Range: pp. 87-111
Publisher: SPRINGER
ISBN: 9789400751330
Abstract: Several uncertainty propagation algorithms are available in literature: (i) MonteCarlo simulations based on response surfaces, (ii) approximate uncertainty propagation algorithms, and (iii) non probabilistic algorithms. All of these approaches are based on some a priori assumptions about the nature of design variables uncertainty and on the models and systems behavior. Some of these as-sumptions could misrepresent the original problem and, consequently, could yield to erroneous design solutions, in particular where the prior information is poor or inexistent (complete ignorance). Therefore, when selecting a method to solve an uncertainty based design problem, several aspects should be considered: prior as-sumptions, non-linearity of the performance function, number of input random variables and required accuracy. It could be useful to develop some guidelines to choose an appropriate method for a specific situation. In the present work some classical structural problems will be studied in order to investigate which probabilistic approach, in terms of accuracy and computational cost, better propagates the uncertainty from input to output data. The methods un-der analysis will be: Univariate Dimension Reduction methods, Polynomial Chaos Expansion, First-Order Second Moment method, and algorithms based on the Evi-dence Theory for epistemic uncertainty. The performances of these methods will be compared in terms of moment estimations and probability density function construction corresponding to several scenarios of reliability based design and ro-bust design. The structural problems presented will be: (1) the static, dynamic and buckling behavior of a composite plate, (2) the reconstruction of the deformed shape of a structure from measured surface strains
Date: 2013
Status: Published
Language of publication: English
Uncontrolled Keywords:
Departments (original): DIMEAS - Department of Mechanical and Aerospace Engineering
Departments: DIMEAS - Department of Mechanical and Aerospace Engineering
Related URLs:
Subjects: Area 09 - Ingegneria industriale e dell'informazione > COSTRUZIONI E STRUTTURE AEROSPAZIALI
Date Deposited: 02 Jul 2012 21:07
Last Modified: 30 Oct 2013 01:17
Id Number (DOI): 10.1007/978-94-007-5134-7_6
Permalink: http://porto.polito.it/id/eprint/2498380

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